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What is the perimeter, in meters, of a rectangular garden 6 meters wide that has the same area as a rectangular playgrou

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by Gmat_mission » Sun May 31, 2020 1:45 pm

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Answers

A

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D

E

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Difficulty—

What is the perimeter, in meters, of a rectangular garden 6 meters wide that has the same area as a rectangular playground 16 meters long and 12 meters wide?

(A) 48
(B) 56
(C) 60
(D) 76
(E) 192

[spoiler]OA=D[/spoiler]

Source: Official Guide
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Junior | Next Rank: 30 Posts
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Re: What is the perimeter, in meters, of a rectangular garden 6 meters wide that has the same area as a rectangular play

by JamesHammel » Sun May 31, 2020 4:49 pm
The area of triangle 2 (A2) = 16 * 12 = 192

Because both triangles have the same area we can divide A2 by the known side of triangle 1.
16 * 12 / 6 = 32

Now we have both lengths we simply add them.
6+6+32+32 = 76 (D)
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